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I was hoping you guys could recommend reading material on quantum information. I have a good background in quantum mechanics, including in foundational issues, as covered in Ballentine's Quantum Mechanics.

I am interested in the intersection of quantum information and quantum foundations, such as in the works of C. Fuchs and in the research of the Perimeter Institute. While I prefer a more rigorous text, I'm trying to be as open as possible and would enjoy any suggestions or recommended reads.

Currently, I am reading the book by Busch, Lahti and Grebowski, notes on ArXiv by Keyl and also the notes by Preskill.

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Scott Aaronson has just published a new book about quantum computing. According to the nice introductary comments the author himself has written to his book here (scroll down to the second half of the article if you only want to learn about the book), it should explain and introduce both the physical and mathematical concepts quantum computing is based on.

Maybe reading this book can help students in choosing the appropriat mathematical and phyics lectures to be heard in what reasonable order to finally being able to do research in quantum computing too.

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This answer contains some additional resources that may be useful. Please note that answers which simply list resources but provide no details are strongly discouraged by the site's policy on resource recommendation questions. This answer is left here to contain additional links that do not yet have commentary.

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The best recommendation I can offer isn't for a book, but a series of video lectures. The Perimeter Institute and the University of Waterloo offer a Masters program in theoretical physics called Perimeter Scholars International (full disclosure: I graduated from PSI in 2010), and videos of all PSI lectures are posted on PI's video site, PIRSA. One of the PSI courses, Rob Spekkens' course on quantum foundations, sounds like it'd be the exact kind of thing you're looking for. The most recent offering of his class can be found here.

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  • $\begingroup$ I know of these too. I like Spekkens' course and also Ben Schumacher's course. Chris Fuchs lectures are very inspiring and informative. $\endgroup$ – WiFO215 Feb 3 '12 at 10:43
  • $\begingroup$ Would you happen to know any references for Statistical Mechanics books which introduce stat mech from the perspective of information theory? $\endgroup$ – WiFO215 Feb 7 '12 at 14:26
  • $\begingroup$ The online book ''Classical and Quantum Mechanics via Lie algebras'' (lanl.arxiv.org/abs/0810.1019) has in Chapter 10: Models, statistics, and measurements a discussion on the relation of statistical mechanics to information theory $\endgroup$ – Arnold Neumaier Mar 2 '12 at 19:07
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I'd recommend the lecture notes from these two courses taught by John Watrous. They can be found at http://www.cs.uwaterloo.ca/~watrous/lecture-notes.html from when he taught at the University of Calgary. I've used the notes from his Theory of Quantum Information course numerous times for a quick reference on some more difficult concepts.

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